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Finding the Third Proportional to 2,294.44 and 4,968.56

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Solution

The third proportional to 2,294.44 and 4,968.56 is: 10,759.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.44 : 4,968.56 = 4,968.56 : x
  2. Step 2: Convert to fraction form
    2,294.44/4,968.56 = 4,968.56/x
  3. Step 3: Cross multiply
    2,294.44x = 4,968.56 × 4,968.56
  4. Step 4: Simplify right side
    2,294.44x = 24,686,613.32
  5. Step 5: Solve for x
    x = 24,686,613.32/2,294.44
  6. Step 6: Final answer
    x = 10,759.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.